On the norms of generalized translation operators generated by the Jacobi-Dunkl operators

DOI10.1007/s10958-012-0765-8zbMath1266.47070OpenAlexW1979833096MaRDI QIDQ690580

O. L. Vinogradov

Publication date: 28 November 2012

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-012-0765-8

zbMATH Keywords

normintegral operatorsgeneralized translation operatorsJacobi-Dunkl weights

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Integral operators (47G10)

Related Items

Sharp Bernstein inequalities for Jacobi-Dunkl operators, On the approximation of functions by Jacobi-Dunkl expansions in the weighted space \({\mathbb{L}}_2^{\left(\alpha ,\beta \right)} \), Generalized Lipschitz conditions for absolute convergence of weighted Jacobi-Dunkl series, Discrete diffusion semigroups associated with Jacobi-Dunkl and exceptional Jacobi polynomials

Cites Work

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• Convolution structure associated with the Jacobi-Dunkl operator on \(\mathbb R\)
• Convolution operator and maximal function for the Dunkl transform
• Positivity and the convolution structure for Jacobi series
• Banach algebras for Jacobi series and positivity of a kernel
• Differential-Difference Operators Associated to Reflection Groups
• Multiplier Criteria of Marcinkiewicz Type for Jacobi Expansions
• The Addition Formula for Jacobi Polynomials and Spherical Harmonics
• Transmutation operators associated with a dunkl type differential-difference operator on the real line and certain of their applications
• TRANSMUTATION OPERATORS AND PALEY–WIENER THEOREM ASSOCIATED WITH A SINGULAR DIFFERENTIAL-DIFFERENCE OPERATOR ON THE REAL LINE